22724113305600 has 936 divisors, whose sum is σ = 94920138809600. Its totient is φ = 5194010787840.

The previous prime is 22724113305541. The next prime is 22724113305601. The reversal of 22724113305600 is 650331142722.

22724113305600 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 4 + 1 + 13 + 30 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22724113305601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316072857 + ... + 316144743.

Almost surely, 2^{22724113305600} is an apocalyptic number.

22724113305600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22724113305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47460069404800).

22724113305600 is an abundant number, since it is smaller than the sum of its proper divisors (72196025504000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22724113305600 is an equidigital number, since it uses as much as digits as its factorization.

22724113305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71948 (or 71904 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22724113305600 in words is "twenty-two trillion, seven hundred twenty-four billion, one hundred thirteen million, three hundred five thousand, six hundred".